What is 3.28302 as a fraction?

Answer: 3.28302 as a fraction equals 328302/100000 or 164151/50000

Here is the solution for converting 3.28302 to a fraction:

Step 1:

First, we write 3.28302 as  

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

3.28302/1

  =  

3.28302 x 100000/1 x 100000

  =  

328302/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 328302 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 328302 are: 1  2  3  6  9  13  18  23  26  39  46  61  69  78  117  122  138  183  207  234  299  366  414  549  598  793  897  1098  1403  1586  1794  2379  2691  2806  4209  4758  5382  7137  8418  12627  14274  18239  25254  36478  54717  109434  164151  328302 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 328302 and 100000 that gives us a GCF value of: 2

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

328302/100000

  =  

328302 ÷ 2/100000 ÷ 2

  =  

164151/50000

Good work! We have just walked through the steps on how to represent 3.28302 as a fraction.